Confidence Interval for Difference of Two Means Test

Unit Test #79

Select your answers to the following 5 questions from the pop-up menus in the right hand column. Clicking the "Begin Test Again" button will clear all the answers.

 

 

Q1:

 

What would be the equivalent z-score for a confidence level of 96%?

A. 1.844

B. 0.1844

C. 2.054

D. 2.05

Answer 1:

 

Q2:

 

A sample of size 80 is taken from a population C with a mean of 55 and a standard deviation of 5.2.

A sample of size 70 is taken from a population D with a mean of 51 and a standard deviation of 4.9.

Find the standard deviation of ( - )

A. 0.367

B. 0.135

C. 0.825

D. 0.681

Answer 2:

 

Q3:

 

Find a 95% confidence interval for the difference of the means of populations C and D.

A. (2.38, 5,62)

B. (4.83, 3.17)

C. (2.64, 5.36)

D. (2.48, 5,52)

Answer 3:

 

Q4:

Is there sufficient evidence to suggest that the means of populations C and D are different?

A. Yes

B. No

 

Answer 4:

 

Q5:

 

A random sample of 100 oranges from the South Island has oranges with a mean weight of 240 g and a standard deviation of 40 g, whereas a sample of 100 oranges from the North Island has a mean weight of 210 g and a standard deviation of 30 g .

The samples are independent and normally distributed.

Construct a 90% confidence interval for the difference between the mean weights of the oranges in the two locations.

A. (-11.1, 71.1)

B. (21.8, 38.2)

C. (22.3, 36.7)

D. (20.2, 39.8)

Answer 5: